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Finding the Fourth Proportional to 2,285.51, 3,408.59 and 2,064.06

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Solution

The fourth proportional to 2,285.51, 3,408.59 and 2,064.06 is: 3,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.51 : 3,408.59 = 2,064.06 : x
  2. Step 2: Convert to fraction form
    2,285.51/3,408.59 = 2,064.06/x
  3. Step 3: Cross multiply
    2,285.51x = 3,408.59 × 2,064.06
  4. Step 4: Simplify right side
    2,285.51x = 7,035,539.44
  5. Step 5: Solve for x
    x = 7,035,539.44/2,285.51
  6. Step 6: Final answer
    x = 3,078.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.